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受欢迎的代数 >

(x)=0.3x^2-144x+30178

解答

(x) = 0.3 x^{2} - 144 x + 30178

解答

x = \frac{725}{3} + i \frac{379715}{3}, x = \frac{725}{3} - i \frac{379715}{3}

求解步骤

(x) = 0.3 x^{2} - 144 x + 30178

在两边乘以

10

x \cdot 10 = 3 x^{2} - 1440 x + 301780

交换两边

3 x^{2} - 1440 x + 301780 = x \cdot 10

将

x 10

para o lado esquerdo

3 x^{2} - 1450 x + 301780 = 0

使用求根公式求解

x_{1, 2} = \frac{- ( - 1450 ) \pm ( - 1450 ) ^{2} - 4 \cdot 3 \cdot 301780}{2 \cdot 3}

化简

(- 1450)^{2} - 4 \cdot 3 \cdot 301780 : 2379715 i

x_{1, 2} = \frac{- ( - 1450 ) \pm 2 379715 i}{2 \cdot 3}

将解分隔开

x_{1} = \frac{- ( - 1450 ) + 2 379715 i}{2 \cdot 3}, x_{2} = \frac{- ( - 1450 ) - 2 379715 i}{2 \cdot 3}

x = \frac{- ( - 1450 ) + 2 379715 i}{2 \cdot 3} : \frac{725}{3} + i \frac{379715}{3}

x = \frac{- ( - 1450 ) - 2 379715 i}{2 \cdot 3} : \frac{725}{3} - i \frac{379715}{3}

二次方程组的解是:

x = \frac{725}{3} + i \frac{379715}{3}, x = \frac{725}{3} - i \frac{379715}{3}

作图

流行的例子

3 x^{2} + 7 x = 4

因式分解 x^2=4x

f a c t or x^{2} = 4 x

(3 n - 1)^{2} = 64

f^{2} - 3 f + 2 = 0

2 x^{2} + 5 = 103